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The holographic superconductors in higher-dimensional AdS soliton

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Abstract

We explore the behavior of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical chemical potentials increase linearly as a total dimension d grows up. We find that the critical exponent for condensation operator is obtained as 1/2 independently of d, and the charge density is linearly related to the chemical potential near the critical point. Furthermore, we consider a slightly generalized setup the Einstein–Power–Maxwell field theory, and find that the critical exponent for condensation operator is given as 1/(4−2n) in terms of a power parameter n of the Power–Maxwell field, and the charge density is proportional to the chemical potential to the power of 1/(2−n).

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  1. Department of Physics, Kunsan National University, Kunsan, 573-701, Korea

    Chong Oh Lee

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Correspondence to Chong Oh Lee.

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Lee, C.O. The holographic superconductors in higher-dimensional AdS soliton. Eur. Phys. J. C 72, 2092 (2012). https://doi.org/10.1140/epjc/s10052-012-2092-0

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-2092-0

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